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LCM of 627, 277, 228, 373, 808

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 627, 277, 228, 373, 808 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 627, 277, 228, 373, 808. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 627,277,228,373,808

Given numbers are 627,277,228,373,808

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 627,277,228,373,808 is 52344071736.

Find LCM of 627,277,228,373,808 with Prime Factorization


2 627, 277, 228, 373, 808
2 627, 277, 114, 373, 404
3 627, 277, 57, 373, 202
19 209, 277, 19, 373, 202
11, 277, 1, 373, 202

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 19 x 11 x 277 x 1 x 373 x 202 = 52344071736

Therefore, the lowest common multiple of 627,277,228,373,808 is 52344071736.

LCM Formula to Find Lowest Common Multiple of 627,277,228,373,808

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

627 x 277 x 228 x 373 x 808 = 11934448355808

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

627 : 1, 3, 11, 19, 33, 57, 209, 627

277 : 1, 277

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

373 : 1, 373

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 627,277,228,373,808, is 1.

Now, the common factors can be found like this.

627:3x 11x 19

277:277

228:2x 2x 3x 19

373:373

808:2x 2x 2x 101

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 19 = 228

Therefore, the value for common factors is 228.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11934448355808/(1x228)

LCM = 11934448355808/228

LCM = 52344071736

Thus, we can understand that the LCM of 627,277,228,373,808 is 52344071736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 627, 277, 228, 373, 808

1. What is the LCM of 627, 277, 228, 373, 808?

Answer: LCM of 627, 277, 228, 373, 808 is 52344071736.

2. How to calculate the LCM of 627, 277, 228, 373, 808?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 627, 277, 228, 373, 808.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.